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Finding the Fourth Proportional to 32,509.69, 48,765.89 and 15,849.88

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Solution

The fourth proportional to 32,509.69, 48,765.89 and 15,849.88 is: 23,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.69 : 48,765.89 = 15,849.88 : x
  2. Step 2: Convert to fraction form
    32,509.69/48,765.89 = 15,849.88/x
  3. Step 3: Cross multiply
    32,509.69x = 48,765.89 × 15,849.88
  4. Step 4: Simplify right side
    32,509.69x = 772,933,504.59
  5. Step 5: Solve for x
    x = 772,933,504.59/32,509.69
  6. Step 6: Final answer
    x = 23,775.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.